%0 Journal Article %T Spherical Couette flow in a dipolar magnetic field %+ Department of Applied Mathematics %+ Laboratoire de Géophysique Interne et Tectonophysique (LGIT) %A Hollerbach, R. %A Canet, Elisabeth %A Fournier, Alexandre %< avec comité de lecture %@ 0997-7546 %J European Journal of Mechanics - B/Fluids %I Elsevier %V 26 %N 6 %P 729 à 737 %8 2007 %D 2007 %Z physics/0702228 %R 10.1016/j.euromechflu.2007.02.002 %K Magnetohydrodynamics %K Spherical Couette flowJournal articles %X We consider numerically the flow of an electrically conducting fluid in a differentially rotating spherical shell, in a dipolar magnetic field. For infinitesimal differential rotation the flow consists of a super-rotating region, concentrated on the particular field line View the MathML source just touching the outer sphere, in agreement with previous results. Finite differential rotation suppresses this super-rotation, and pushes it inward, toward the equator of the inner sphere. For sufficiently strong differential rotation the outer boundary layer becomes unstable, yielding time-dependent solutions. Adding an overall rotation suppresses these instabilities again. The results are in qualitative agreement with the DTS liquid sodium experiment. %G English %L insu-00346226 %U https://insu.hal.science/insu-00346226 %~ INSU %~ UNIV-SAVOIE %~ UGA %~ CNRS %~ UNIV-GRENOBLE1 %~ INPG %~ IRSTEA %~ IFSTTAR %~ AGREENIUM %~ INRAE %~ USMB-COMUE %~ UNIV-EIFFEL %~ IFSTTAR-UNIVEIFFEL